Discuss the principle of estimation of halogens,sulphur and phosphorus present in an organic compound.

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(N/A) Estimation of halogens by Carius method:
$A$ known quantity of organic compound is heated with fuming nitric acid in the presence of silver nitrate in a hard glass tube (Carius tube) in a furnace. Carbon and hydrogen are oxidized to $CO_2$ and $H_2O$. The halogen is converted to silver halide $(AgX)$,which is filtered,washed,dried,and weighed.
Percentage of halogen $= \frac{\text{Atomic mass of } X \times m_1 \times 100}{\text{Molecular mass of } AgX \times m}$,where $m$ is the mass of the organic compound and $m_1$ is the mass of $AgX$.
Estimation of sulphur:
$A$ known quantity of organic compound is heated with fuming nitric acid or sodium peroxide in a Carius tube. Sulphur is oxidized to sulphuric acid $(H_2SO_4)$. Excess barium chloride $(BaCl_2)$ is added to precipitate barium sulphate $(BaSO_4)$.
Percentage of sulphur $= \frac{32 \times m_1 \times 100}{233 \times m}$,where $m_1$ is the mass of $BaSO_4$.
Estimation of phosphorus:
$A$ known quantity of organic compound is heated with fuming nitric acid,oxidizing phosphorus to phosphoric acid $(H_3PO_4)$. It is precipitated as ammonium phosphomolybdate by adding ammonia and ammonium molybdate,or as $MgNH_4PO_4$ which on ignition yields $Mg_2P_2O_7$.
Percentage of phosphorus $= \frac{31 \times m_1 \times 100}{1877 \times m}$ (as ammonium phosphomolybdate) or $\frac{62 \times m_1 \times 100}{222 \times m}$ (as $Mg_2P_2O_7$).

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Given below are two statements :
Statement $I$ : Kjeldahl method is applicable to estimate nitrogen in pyridine.
Statement $II$ : The nitrogen present in pyridine can easily be converted into ammonium sulphate in Kjeldahl method.
In the light of the above statements,choose the correct answer from the options given below.

$A$ sample of $0.125 \ g$ of an organic compound when analysed by Duma's method yields $22.78 \ mL$ of nitrogen gas collected over $KOH$ solution at $280 \ K$ and $759 \ mm \ Hg$. The percentage of nitrogen in the given organic compound is (Nearest integer).
$(a)$ The vapour pressure of water at $280 \ K$ is $14.2 \ mm \ Hg$
$(b)$ $R = 0.082 \ L \ atm \ K^{-1} \ mol^{-1}$

During the estimation of nitrogen present in an organic compound by the Kjeldahl method,the ammonia evolved from $0.5 \ g$ of the compound neutralized $10 \ mL$ of $1 \ M$ $H_{2}SO_{4}$. Find the percentage of nitrogen in the compound. (in $\%$)

$0.1 \ g$ of an organic compound was analyzed by the Kjeldahl method. The $NH_3$ produced was absorbed in $30 \ mL$ of $N/5$ $H_2SO_4$. The remaining acid required $20 \ mL$ of $N/10$ $NaOH$ for neutralization. Calculate the percentage of nitrogen in the organic compound.

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Why is a solution of potassium hydroxide used to absorb carbon dioxide evolved during the estimation of carbon present in an organic compound?

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